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A wire of length L and cross sectional a...

A wire of length L and cross sectional area A is made of a material of Young's modulus Y. If the wire is streched by an amount x, the work done is………………

A

`(Y xA)/(2L)`

B

`(Yx^(2)A)/(L)`

C

`(Yx^(2)A)/(2L)`

D

`(2Yx^(2)A)/(L)`

Text Solution

Verified by Experts

The correct Answer is:
C

`U= (1)/(2) F Delta = ((YA Delta l))/(2l) Delta l = ((1)/(2) Y Ax^(2))/(L)`
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